3t(8t+5)=0

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Solution for 3t(8t+5)=0 equation: 


Simplifying
3t(8t + 5) = 0

Reorder the terms:
3t(5 + 8t) = 0
(5 * 3t + 8t * 3t) = 0
(15t + 24t2) = 0

Solving
15t + 24t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(5 + 8t) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

Move all terms containing t to the left, all other terms to the right.

Simplifying
t = 0

Subproblem 2
Set the factor '(5 + 8t)' equal to zero and attempt to solve:

Simplifying
5 + 8t = 0

Solving
5 + 8t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 8t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8t = 0 + -5
8t = 0 + -5

Combine like terms: 0 + -5 = -5
8t = -5

Divide each side by '8'.
t = -0.625

Simplifying
t = -0.625
Solution
t = {0, -0.625}

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